Least Common Multiple of 734/967, 5301/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 734/967, 5301/112 quickly i.e. 3890934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/967, 5301/112 is 3890934.

LCM(734/967, 5301/112) = 3890934

LCM of 734/967, 5301/112

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 734/967,5301/112

Given numbers are 734/967,5301/112

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 734,5301

Least Common Multiple of Numerators i.e. LCM of 734,5301 is 3890934.

GCF of Denominators means GCF of 967,112 as per the given fractions.

GCF of 967,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,5301

LCM of Fractions 734/967,5301/112 is 3890934

Given numbers has no common factors except 1. So, there LCM is their product i.e 3890934

Least Common Multiple of 734,5301 with GCF Formula

Least Common Multiple of 734,5301 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 734,5301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,5301) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(734,5301) x common factors =1 x 1 = 1

LCM(734,5301) = ( 734 × 5301 ) / 1

LCM(734,5301) = 3890934 / 1

LCM(734,5301) = 3890934


Lets's calculate GCF of 967,112

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3890934/1

Therefore the LCM of Fractions 734/967,5301/112 is 3890934

Greatest Common Factor of 967,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,112 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 967,112 . The biggest common factor number is the GCF number.
So the greatest common factor 967,112 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 734/967, 5301/112

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 734/967, 5301/112?

Answer: LCM of Numerators as per given numbers 734/967, 5301/112 is

LCM of Numerators i.e. for 734,5301 is 3890934

GCF of denominators i.e. for 967,112 is 1.

Thus, LCM of Fractions is 3890934.Finally, LCM of Fractions for 734/967, 5301/112 is 3890934.